Membership functions or \alpha-cuts? Algorithmic (constructivist) analysis justifies an interval approach
نویسندگان
چکیده
منابع مشابه
Membership Functions or alpha-Cuts? Algorithmic (Constructivist) Analysis Justifies an Interval Approach
In his pioneering papers, Igor Zaslavsky started an algorithmic (constructivist) analysis of fuzzy logic. In this paper, we extend this analysis to fuzzy mathematics and fuzzy data processing. Specifically, we show that the two mathematically equivalent representations of a fuzzy number – by a membership function and by α-cuts – are not algorithmically equivalent, and only the α-cut representat...
متن کاملMembership Functions or α-Cuts? Algorithmic (Constructivist) Analysis Justifies an Interval Approach
In his pioneering papers, Igor Zaslavsky started an algorithmic (constructivist) analysis of fuzzy logic. In this paper, we extend this analysis to fuzzy mathematics and fuzzy data processing. Specifically, we show that the two mathematically equivalent representations of a fuzzy number – by a membership function and by α-cuts – are not algorithmically equivalent, and only the α-cut representat...
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ژورنال
عنوان ژورنال: Applied Mathematical Sciences
سال: 2013
ISSN: 1314-7552
DOI: 10.12988/ams.2013.13020